Finite Group Databasebeta

← #8429394

Subgroups — #8429394

Order 512.

3959 conjugacy classes of subgroups.

The subgroup lattice has 1565 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#59709C212yesmaximal, complemented
2#59666C211yesmaximal, characteristic, complemented
3#59496C212yesmaximal, complemented
4#59235C211yesmaximal, characteristic, complemented
5#59211C211yesmaximal, characteristic, complemented
6#57897C214yesmaximal, complemented
7#57826C214yesmaximal, complemented
8#53148C212yesmaximal, complemented
9#53092C212yesmaximal, complemented
10#53079C212yesmaximal
11#53072C212yesmaximal, complemented
12#52900C214yesmaximal, complemented
13#42922C212yesmaximal, complemented
14#42899C212yesmaximal, complemented
15#42711C212yesmaximal, complemented
16#42662C212yesmaximal, complemented
17#42192C214yesmaximal, complemented
18#39801C212yesmaximal, complemented
19#39545C212yesmaximal, complemented
20#39498C211yesmaximal, characteristic, complemented
21#39478C211yesmaximal, characteristic, complemented
22#39183C211yesmaximal, characteristic, complemented
23#39146C211yesmaximal, characteristic, complemented
24#39033C212yesmaximal, complemented
25#39032C212yesmaximal, complemented
26#37631C211yesmaximal, characteristic, complemented
27#37624C211yesmaximal, characteristic, complemented
28#37582C212yesmaximal, complemented
29#37580C212yesmaximal, complemented
30#36315C211yesmaximal, characteristic, complemented
31#36314C211yesmaximal, characteristic, complemented
32#36210C211yesmaximal, characteristic, complemented
33#34978C211yesmaximal, characteristic, complemented
34#34803C211yesmaximal, characteristic, complemented
35#34797C211yesmaximal, characteristic
36#2864C2212yes—
37#2861C2212yes—
38#2859C2211yescharacteristic
39#2857C2211yescharacteristic
40#2857C2211yescharacteristic
41#2841C2214yes—
42#2839C2214yes—
43#2839C2214yes—
44#2838C2214yes—
45#2838C2214yes—
46#2837C2214yes—
47#2837C2214yes—
48#2836C2214yes—
49#2833C2214yes—
50#2832C2214yes—
51#2831C2214yes—
52#2830C2214yes—
53#2829C2214yes—
54#2824C2214yes—
55#2807C2214yes—
56#2802C2214yes—
57#2802C2214yes—
58#2801C2214yes—
59#2798C2214yes—
60#2796C2214yes—
61#2795C2214yes—
62#2794C2214yes—
63#2793C2214yes—
64#2791C2214yes—
65#2789C2214yes—
66#2788C2214yes—
67#2788C2214yes—
68#2787C2214yes—
69#2786C2214yes—
70#2781C2214yes—
71#2779C2214yes—
72#2777C2214yes—
73#2775C2214yes—
74#2774C2214yes—
75#2773C2214yes—
76#2773C2214yes—
77#2771C2214yes—
78#2770C2214yes—
79#2767C2214yes—
80#2766C2214yes—
81#2759C2214yes—
82#2758C2214yes—
83#2754C2214yes—
84#2751C2214yes—
85#2747C2214yes—
86#2747C2214yes—
87#2746C2214yes—
88#2744C2214yes—
89#2744C2214yes—
90#2741C2214yes—
91#2739C2214yes—
92#2666C2214yes—
93#2666C2214yes—
94#2660C2212yes—
95#2655C2214yes—
96#2655C2214yes—
97#2655C2214yes—
98#2654C2214yes—
99#2654C2214yes—
100#2651C2214yes—
101#2651C2214yes—
102#2650C2214yes—
103#2650C2214yes—
104#2647C2212yes—
105#2647C2212yes—
106#2645C2212yes—
107#2645C2212yes—
108#2640C2212yes—
109#2629C2212yes—
110#2628C2212yes—
111#2628C2212yes—
112#2628C2212yes—
113#2625C2212yes—
114#2625C2212yes—
115#2612C2214yes—
116#2609C2214yes—
117#2604C2214yes—
118#2604C2214yes—
119#2599C2214yes—
120#2594C2214yes—
121#2585C2214yes—
122#2584C2212yes—
123#2582C2212yes—
124#2581C2212yes—
125#2580C2212yes—
126#2571C2211yescharacteristic
127#2571C2211yescharacteristic
128#2570C2212yes—
129#2570C2212yes—
130#2570C2212yes—
131#2568C2211yescharacteristic
132#2565C2212yes—
133#2565C2212yes—
134#2565C2212yes—
135#2562C2212yes—
136#2562C2212yes—
137#2562C2212yes—
138#2552C2212yes—
139#2552C2212yes—
140#2552C2211yescharacteristic
141#2552C2211yescharacteristic
142#2552C2211yescharacteristic
143#2552C2211yescharacteristic
144#2551C2211yescharacteristic
145#2550C2212yes—
146#2550C2212yes—
147#2547C2211yescharacteristic
148#2538C2211yescharacteristic
149#2536C2212yes—
150#2533C2214yes—
151#2533C2214yes—
152#2533C2212yes—
153#2532C2214yes—
154#2531C2212yes—
155#2531C2214yes—
156#2530C2214yes—
157#2529C2214yes—
158#2529C2214yes—
159#2529C2212yes—
160#2528C2214yes—
161#2527C2212yes—
162#2525C2214yes—
163#2525C2214yes—
164#2525C2214yes—
165#2524C2214yes—
166#2523C2212yes—
167#2520C2214yes—
168#2518C2212yes—
169#2514C2211yescharacteristic
170#2514C2212yes—
171#2513C2212yes—
172#2512C2211yescharacteristic
173#2511C2212yes—
174#2511C2212yes—
175#2511C2212yes—
176#2509C2212yes—
177#2509C2214yes—
178#2509C2212yes—
179#2509C2212yes—
180#2509C2211yescharacteristic
181#2508C2212yes—
182#2508C2212yes—
183#2508C2212yes—
184#2507C2212yes—
185#2507C2211yescharacteristic
186#2500C2212yes—
187#2500C2211yescharacteristic
188#2499C2212yes—
189#2499C2211yescharacteristic
190#2497C2212yes—
191#2497C2212yes—
192#2496C2211yescharacteristic
193#2495C2212yes—
194#2495C2212yes—
195#2495C2211yescharacteristic
196#2495C2212yes—
197#2494C2212yes—
198#2494C2212yes—
199#2494C2212yes—
200#2494C2212yes—
201#2492C2212yes—
202#2492C2211yescharacteristic
203#2490C2211yescharacteristic
204#2489C2212yes—
205#2489C2212yes—
206#2489C2212yes—
207#2487C2212yes—
208#2485C2212yes—
209#2485C2212yes—
210#2485C2212yes—
211#2485C2211yescharacteristic
212#2485C2211yescharacteristic
213#2479C2214yes—
214#2478C2214yes—
215#2467C2212yes—
216#2466C2212yes—
217#2454C2212yes—
218#2453C2212yes—
219#2451C2212yes—
220#2448C2212yes—
221#2442C2212yes—
222#2442C2212yes—
223#2441C2212yes—
224#2441C2211yescharacteristic
225#2441C2212yes—
226#2441C2212yes—
227#2441C2212yes—
228#2439C2211yescharacteristic
229#2439C2212yes—
230#2439C2212yes—
231#2439C2212yes—
232#2427C2212yes—
233#2426C2212yes—
234#2423C2212yes—
235#2421C2212yes—
236#2421C2212yes—
237#2421C2212yes—
238#2420C2212yes—
239#2417C2212yes—
240#2415C2212yes—
241#2415C2211yescharacteristic
242#2414C2211yescharacteristic
243#2401C2212yes—
244#2398C2212yes—
245#2396C2214yes—
246#2395C2212yes—
247#2392C2212yes—
248#2370C2212yes—
249#2370C2212yes—
250#2365C2211yescharacteristic
251#2365C2211yescharacteristic
252#2362C2212yes—
253#2362C2212yes—
254#2362C2212yes—
255#2356C2214yes—
256#2356C2212yes—
257#2355C2211yescharacteristic
258#2354C2211yescharacteristic
259#2354C2212yes—
260#2354C2212yes—
261#2351C2212yes—
262Q8×C4⋊C4C2211yescharacteristic
263D4×C4⋊C4C2211yescharacteristic
264#2347C2212yes—
265#2347C2212yes—
266#2346C2212yes—
267#2344C2212yes—
268#2330C2212yes—
269#2326C2212yes—
270#2317C2212yes—
271#2314C2212yes—
272#2314C2214yes—
273C4×C4⋊Q8C2211yescharacteristic
274C4×C4⋊Q8C2211yescharacteristic
275C4×C4⋊Q8C2212yes—
276C4×C4⋊Q8C2212yes—
277C4×#125C2211yescharacteristic
278C4×#125C2212yes—
279C4×#125C2212yes—
280C4×#126C2212yes—
281C4×#126C2212yes—
282C4×C22⋊Q8C2211yescharacteristic
283C4×C22⋊Q8C2211yescharacteristic
284C4×#121C2211yescharacteristic
285C4×#121C2211yescharacteristic
286#2295C2211yescharacteristic
287#2295C2212yes—
288#2295C2212yes—
289#2295C2212yes—
290#2293C2211yescharacteristic
291#2293C2212yes—
292#2285C2211yescharacteristic
293#2285C2211yescharacteristic
294#2285C2211yescharacteristic
295#2283C2211yescharacteristic
296C42×D4C2211yescharacteristic
297C4×#117C2211yescharacteristic
298C4×#117C2211yescharacteristic
299C2×C4⋊Q8C2311yescharacteristic
300C2×C4⋊Q8C2311yescharacteristic
301C2×C4⋊Q8C2312yes—
302C2×C4⋊Q8C2312yes—
303C2×#126C2312yes—
304C2×#126C2312yes—
305C2×#125C2312yes—
306C2×#125C2311yescharacteristic
307C2×#125C2312yes—
308C2×#125C2312yes—
309C2×#125C2312yes—
310C2×#125C2312yes—
311C2×#124C2312yes—
312C2×C22⋊Q8C2312yes—
313C2×C22⋊Q8C2312yes—
314C2×C22⋊Q8C2312yes—
315C2×C22⋊Q8C2311yescharacteristic
316C2×C22⋊Q8C2311yescharacteristic
317C2×#121C2311yescharacteristic
318C2×#121C2311yescharacteristic
319C2×C4×Q8C2311yescharacteristic
320C2×C4×Q8C2314yes—
321C2×C4×Q8C2312yes—
322C2×C4×Q8C2312yes—
323C2×C4×Q8C2312yes—
324C2×C4×Q8C2312yes—
325C2×C4×Q8C2312yes—
326C2×C4×D4C2311yescharacteristic
327C2×C4×D4C2311yescharacteristic
328C2×C4×D4C2312yes—
329C2×C4×D4C2312yes—
330C2×C4×D4C2312yes—
331C2×C4×D4C2311yescharacteristic
332C2×C4×D4C2311yescharacteristic
333C2×#117C2314yes—
334C2×#117C2312yes—
335C2×#117C2312yes—
336C2×#117C2312yes—
337C2×#117C2312yes—
338C2×#117C2312yes—
339C2×#117C2311yescharacteristic
340C2×#117C2311yescharacteristic
341C2×#117C2311yescharacteristic
342C2×#117C2311yescharacteristic
343C22×C4⋊C4C2312yes—
344C22×C42C2311yescharacteristic
345C22×C42C2311yescharacteristic
346#401C2314yes—
347#401C2314yes—
348#401C2314yes—
349#401C2312yes—
350#400C2314yes—
351#400C2314yes—
352#400C2314yes—
353#400C2314yes—
354#400C2314yes—
355#400C2314yes—
356#400C2314yes—
357#400C2314yes—
358#400C2314yes—
359#400C2314yes—
360#400C2314yes—
361#400C2314yes—
362#400C2314yes—
363#400C2314yes—
364#400C2314yes—
365#400C2314yes—
366#400C2314yes—
367#400C2314yes—
368#400C2314yes—
369#400C2314yes—
370#400C2314yes—
371#400C2314yes—
372#400C2312yes—
373#400C2314yes—
374#400C2314yes—
375#400C2314yes—
376#400C2314yes—
377#400C2314yes—
378#400C2312yes—
379#400C2314yes—
380#400C2312yes—
381#400C2312yes—
382#400C2314yes—
383#400C2312yes—
384#400C2312yes—
385#399C2314yes—
386#399C2312yes—
387#399C2314yes—
388#399C2314yes—
389#399C2314yes—
390#399C2314yes—
391#399C2314yes—
392#398C2314yes—
393#398C2314yes—
394#398C2314yes—
395#398C2314yes—
396#398C2314yes—
397#398C2314yes—
398#398C2314yes—
399#398C2314yes—
400#398C2314yes—
401#398C2314yes—
402#398C2314yes—
403#398C2312yes—
404#398C2314yes—
405#398C2314yes—
406#398C2314yes—
407#398C2314yes—
408#398C2314yes—
409#398C2312yes—
410#398C2314yes—
411#398C2314yes—
412#398C2314yes—
413#398C2314yes—
414#398C2314yes—
415#398C2314yes—
416#398C2314yes—
417#398C2314yes—
418#397C2314yes—
419#397C2314yes—
420#397C2314yes—
421#397C2314yes—
422#397C2314yes—
423#397C2314yes—
424#397C2314yes—
425#397C2312yes—
426#397C2314yes—
427#397C2314yes—
428#397C2312yes—
429#397C2314yes—
430#397C2314yes—
431#397C2314yes—
432#397C2314yes—
433#397C2314yes—
434#397C2314yes—
435#397C2312yes—
436#397C2312yes—
437#397C2312yes—
438#397C2312yes—
439#397C2312yes—
440#397C2312yes—
441#397C2312yes—
442#396C2314yes—
443#396C2314yes—
444#396C2314yes—
445#396C2312yes—
446#396C2314yes—
447#396C2312yes—
448#396C2314yes—
449#396C2314yes—
450#396C2314yes—
451#396C2314yes—
452#396C2312yes—
453#395C2314yes—
454#395C2314yes—
455#395C2314yes—
456#395C2314yes—
457#395C2314yes—
458#395C2314yes—
459#394C2314yes—
460#394C2314yes—
461#394C2314yes—
462#394C2312yes—
463#394C2314yes—
464#394C2314yes—
465#394C2312yes—
466#394C2314yes—
467#394C2312yes—
468#394C2312yes—
469#394C2312yes—
470#394C2312yes—
471#394C2312yes—
472#393C2314yes—
473#393C2314yes—
474#393C2314yes—
475#393C2312yes—
476#393C2314yes—
477#393C2312yes—
478#393C2314yes—
479#392C2312yes—
480#391C2312yes—
481#391C2314yes—
482#391C2314yes—
483#391C2312yes—
484#391C2311yescharacteristic
485#391C2312yes—
486#391C2312yes—
487#391C2312yes—
488#391C2312yes—
489#391C2312yes—
490#391C2312yes—
491#391C2312yes—
492#391C2314yes—
493#391C2314yes—
494#391C2312yes—
495#391C2314yes—
496#391C2312yes—
497#391C2311yescharacteristic
498#391C2312yes—
499#391C2312yes—
500#391C2311yescharacteristic
501#391C2311yescharacteristic
502#390C2314yes—
503#390C2312yes—
504#390C2311yescharacteristic
505#390C2312yes—
506#390C2311yescharacteristic
507#390C2311yescharacteristic
508#390C2312yes—
509#390C2312yes—
510#390C2311yescharacteristic
511#389C2312yes—
512#389C2311yescharacteristic
513#389C2311yescharacteristic
514#389C2312yes—
515#389C2312yes—
516#389C2312yes—
517#389C2312yes—
518#389C2312yes—
519#389C2312yes—
520#389C2312yes—
521#389C2314yes—
522#389C2314yes—
523#389C2312yes—
524#389C2311yescharacteristic
525#389C2311yescharacteristic
526#389C2312yes—
527#389C2312yes—
528#389C2311yescharacteristic
529#389C2312yes—
530#389C2312yes—
531#389C2312yes—
532#389C2312yes—
533#389C2312yes—
534#389C2312yes—
535#389C2314yes—
536#389C2314yes—
537#389C2312yes—
538#389C2312yes—
539#389C2314yes—
540#389C2314yes—
541#389C2314yes—
542#389C2314yes—
543#389C2312yes—
544#389C2312yes—
545#389C2311yescharacteristic
546#389C2312yes—
547#389C2314yes—
548#389C2314yes—
549#389C2314yes—
550#389C2311yescharacteristic
551#389C2312yes—
552#389C2312yes—
553#389C2312yes—
554#389C2312yes—
555#389C2312yes—
556#389C2312yes—
557#389C2312yes—
558#389C2312yes—
559#389C2314yes—
560#389C2312yes—
561#389C2312yes—
562#389C2314yes—
563#389C2311yescharacteristic
564#389C2312yes—
565#389C2312yes—
566#389C2314yes—
567#389C2311yescharacteristic
568#389C2311yescharacteristic
569#389C2311yescharacteristic
570#389C2311yescharacteristic
571#388C2312yes—
572#388C2312yes—
573#388C2312yes—
574#388C2312yes—
575#388C2312yes—
576#388C2312yes—
577#388C2314yes—
578#388C2314yes—
579#388C2314yes—
580#388C2314yes—
581#388C2314yes—
582#388C2314yes—
583#388C2314yes—
584#388C2314yes—
585#388C2314yes—
586#388C2314yes—
587#388C2314yes—
588#388C2314yes—
589#388C2314yes—
590#388C2314yes—
591#388C2314yes—
592#388C2314yes—
593#388C2314yes—
594#388C2312yes—
595#388C2314yes—
596#388C2314yes—
597#388C2314yes—
598#388C2312yes—
599#388C2314yes—
600#388C2314yes—
601#388C2312yes—
602#388C2314yes—
603#388C2314yes—
604#388C2314yes—
605#388C2314yes—
606#388C2314yes—
607#388C2314yes—
608#388C2312yes—
609#388C2312yes—
610#388C2312yes—
611#388C2314yes—
612#388C2312yes—
613#388C2312yes—
614#387C2312yes—
615#387C2312yes—
616#387C2312yes—
617#387C2312yes—
618#387C2312yes—
619#387C2312yes—
620#387C2314yes—
621#387C2314yes—
622#387C2314yes—
623#387C2314yes—
624#387C2312yes—
625#387C2312yes—
626#387C2314yes—
627#387C2314yes—
628#387C2314yes—
629#387C2314yes—
630#387C2314yes—
631#387C2314yes—
632#387C2314yes—
633#387C2314yes—
634#387C2314yes—
635#387C2314yes—
636#387C2314yes—
637#387C2314yes—
638#387C2314yes—
639#387C2314yes—
640#387C2314yes—
641#387C2314yes—
642#387C2314yes—
643#387C2312yes—
644#387C2314yes—
645#387C2314yes—
646#387C2314yes—
647#387C2314yes—
648#387C2314yes—
649#387C2314yes—
650#387C2312yes—
651#387C2314yes—
652#387C2314yes—
653#387C2314yes—
654#387C2312yes—
655#387C2314yes—
656#387C2314yes—
657#387C2314yes—
658#387C2314yes—
659#387C2314yes—
660#387C2314yes—
661#387C2314yes—
662#387C2314yes—
663#387C2312yes—
664#387C2314yes—
665#387C2314yes—
666#387C2312yes—
667#387C2312yes—
668#387C2314yes—
669#387C2312yes—
670#387C2312yes—
671#386C2314yes—
672#386C2314yes—
673#386C2312yes—
674#386C2312yes—
675#385C2314yes—
676#385C2314yes—
677#385C2314yes—
678#385C2314yes—
679#385C2314yes—
680#385C2314yes—
681#385C2312yes—
682#385C2312yes—
683#384C2312yes—
684#384C2312yes—
685#384C2311yescharacteristic
686#384C2311yescharacteristic
687#384C2311yescharacteristic
688#384C2312yes—
689#384C2312yes—
690#384C2314yes—
691#384C2312yes—
692#384C2311yescharacteristic
693#384C2311yescharacteristic
694#384C2311yescharacteristic
695#383C2312yes—
696#383C2312yes—
697#383C2314yes—
698#383C2314yes—
699#383C2314yes—
700#383C2312yes—
701#382C2312yes—
702#382C2311yescharacteristic
703#382C2312yes—
704#382C2312yes—
705#382C2312yes—
706#382C2312yes—
707#382C2314yes—
708#382C2311yescharacteristic
709#382C2312yes—
710#382C2312yes—
711#382C2312yes—
712#382C2314yes—
713#382C2314yes—
714#382C2314yes—
715#382C2312yes—
716#382C2312yes—
717#382C2311yescharacteristic
718#381C2312yes—
719#381C2314yes—
720#380C2312yes—
721#380C2312yes—
722#380C2311yescharacteristic
723#380C2312yes—
724#380C2311yescharacteristic
725#380C2312yes—
726#380C2312yes—
727#380C2312yes—
728#380C2312yes—
729#380C2311yescharacteristic
730#380C2314yes—
731#380C2314yes—
732#380C2312yes—
733#380C2312yes—
734#380C2312yes—
735#380C2312yes—
736#380C2312yes—
737#380C2311yescharacteristic
738#380C2312yes—
739#380C2314yes—
740#380C2311yescharacteristic
741#380C2311yescharacteristic
742#380C2312yes—
743#380C2311yescharacteristic
744#380C2311yescharacteristic
745C4×C4⋊C4C2311yescharacteristic
746C4×C4⋊C4C2312yes—
747C4×C4⋊C4C2312yes—
748C4×C4⋊C4C2312yes—
749C4×C4⋊C4C2312yes—
750C4×C4⋊C4C2312yes—
751C4×C4⋊C4C2314yes—
752C4×C4⋊C4C2311yescharacteristic
753C4×C4⋊C4C2311yescharacteristic
754C4×C4⋊C4C2312yes—
755C4×C4⋊C4C2312yes—
756C4×C4⋊C4C2314yes—
757C4×C4⋊C4C2314yes—
758C4×C4⋊C4C2312yes—
759C4×C4⋊C4C2311yescharacteristic
760C4×C4⋊C4C2311yescharacteristic
761C4×C4⋊C4C2312yes—
762C4×C4⋊C4C2312yes—
763C4×C4⋊C4C2312yes—
764C4×C4⋊C4C2311yescharacteristic
765C4×C4⋊C4C2311yescharacteristic
766C4×C4⋊C4C2311yescharacteristic
767C4×C4⋊C4C2311yescharacteristic
768C4×C4⋊C4C2312yes—
769C4×C4⋊C4C2312yes—
770C4×C4⋊C4C2311yescharacteristic
771C4×C4⋊C4C2312yes—
772C4×C4⋊C4C2314yes—
773C4×C4⋊C4C2312yes—
774C4×C4⋊C4C2312yes—
775C4×C4⋊C4C2312yes—
776C4×C4⋊C4C2314yes—
777C4×C4⋊C4C2314yes—
778C4×C4⋊C4C2312yes—
779C4×C4⋊C4C2314yes—
780C4×C4⋊C4C2314yes—
781C4×C4⋊C4C2312yes—
782C4×C4⋊C4C2311yescharacteristic
783C4×C4⋊C4C2311yescharacteristic
784C4×C4⋊C4C2311yescharacteristic
785C4×C22⋊C4C2311yescharacteristic
786C4×C22⋊C4C2312yes—
787C4×C22⋊C4C2312yes—
788C4×C22⋊C4C2312yes—
789C4×C22⋊C4C2312yes—
790C4×C22⋊C4C2312yes—
791C4×C22⋊C4C2311yescharacteristic
792C4×C22⋊C4C2312yes—
793C4×C22⋊C4C2312yes—
794C4×C22⋊C4C2311yescharacteristic
795C4×C22⋊C4C2312yes—
796C4×C22⋊C4C2312yes—
797C4×C22⋊C4C2312yes—
798C4×C22⋊C4C2311yescharacteristic
799C4×C22⋊C4C2311yescharacteristic
800C4×C22⋊C4C2311yescharacteristic
801#376C2312yes—
802#376C2312yes—
803#376C2314yes—
804#376C2314yes—
805#376C2312yes—
806#376C2312yes—
807C43C2312yes—
808C43C2312yes—
809C43C2311yescharacteristic
810C22×Q8C2411yescharacteristic
811C22×Q8C2412yes—
812C22×Q8C2414yes—
813C22×Q8C2412yes—
814C22×D4C2411yescharacteristic
815C22×D4C2411yescharacteristic
816C22×D4C2412yes—
817C22×D4C2412yes—
818C23×C4C2412yes—
819C23×C4C2411yescharacteristic
820C23×C4C2411yescharacteristic
821C23×C4C2411yescharacteristic
822C23×C4C2411yescharacteristic
823C23×C4C2411yescharacteristic
824C23×C4C2411yescharacteristic
825C23×C4C2414yes—
826C4⋊Q8—24no—
827C4⋊Q8—42no—
828C4⋊Q8—44no—
829C4⋊Q8—44no—
830#126—44no—
831#126—44no—
832#125—44no—
833#125—44no—
834#125—44no—
835#125—42no—
836#125—44no—
837#125—44no—
838#124—44no—
839C22⋊Q8—42no—
840C22⋊Q8—44no—
841C22⋊Q8—42no—
842C22⋊Q8—44no—
843C22⋊Q8—44no—
844#121—42no—
845#121—42no—
846C4×Q8—24no—
847C4×Q8—48no—
848C4×Q8—44no—
849C4×Q8—44no—
850C4×Q8—44no—
851C4×Q8—44no—
852C4×Q8—44no—
853C4×D4—24no—
854C4×D4—44no—
855C4×D4—44no—
856C4×D4—42no—
857C4×D4—44no—
858C4×D4—42no—
859C4×D4—42no—
860#117—44no—
861#117—44no—
862#117—44no—
863#117—48no—
864#117—44no—
865#117—42no—
866#117—42no—
867#117—44no—
868#117—42no—
869#117—42no—
870C2×C4⋊C4—44no—
871C2×C4⋊C4C2411yescharacteristic
872C2×C4⋊C4C2412yes—
873C2×C4⋊C4C2411yescharacteristic
874C2×C4⋊C4C2412yes—
875C2×C4⋊C4C2411yescharacteristic
876C2×C4⋊C4C2412yes—
877C2×C4⋊C4C2412yes—
878C2×C4⋊C4C2411yescharacteristic
879C2×C4⋊C4C2412yes—
880C2×C4⋊C4C2411yescharacteristic
881C2×C4⋊C4C2411yescharacteristic
882C2×C4⋊C4C2411yescharacteristic
883C2×C4⋊C4C2411yescharacteristic
884C2×C4⋊C4C2411yescharacteristic
885C2×C4⋊C4C2412yes—
886C2×C4⋊C4C2411yescharacteristic
887C2×C4⋊C4C2411yescharacteristic
888C2×C4⋊C4C2411yescharacteristic
889C2×C4⋊C4C2411yescharacteristic
890C2×C4⋊C4C2412yes—
891C2×C4⋊C4C2412yes—
892C2×C4⋊C4C2411yescharacteristic
893C2×C4⋊C4C2411yescharacteristic
894C2×C4⋊C4C2412yes—
895C2×C4⋊C4C2412yes—
896C2×C4⋊C4C2414yes—
897C2×C4⋊C4C2412yes—
898C2×C4⋊C4C2412yes—
899C2×C4⋊C4C2414yes—
900C2×C4⋊C4C2412yes—
901C2×C4⋊C4C2412yes—
902C2×C4⋊C4C2412yes—
903C2×C4⋊C4C2412yes—
904C2×C4⋊C4C2411yescharacteristic
905C2×C4⋊C4C2412yes—
906C2×C4⋊C4C2411yescharacteristic
907C2×C4⋊C4C2412yes—
908C2×C4⋊C4C2414yes—
909C2×C4⋊C4C2414yes—
910C2×C4⋊C4C2414yes—
911C2×C4⋊C4C2412yes—
912C2×C4⋊C4C2414yes—
913C2×C4⋊C4C2414yes—
914C2×C4⋊C4C2414yes—
915C2×C4⋊C4C2412yes—
916C2×C4⋊C4C2412yes—
917C2×C4⋊C4C2414yes—
918C2×C4⋊C4C2412yes—
919C2×C4⋊C4C2414yes—
920C2×C4⋊C4C2414yes—
921C2×C4⋊C4C2414yes—
922C2×C4⋊C4C2412yes—
923C2×C4⋊C4C2414yes—
924C2×C4⋊C4C2414yes—
925C2×C4⋊C4C2414yes—
926C2×C4⋊C4C2414yes—
927C2×C4⋊C4C2412yes—
928C2×C4⋊C4C2414yes—
929C2×C4⋊C4C2414yes—
930C2×C4⋊C4C2412yes—
931C2×C4⋊C4C2414yes—
932C2×C4⋊C4C2414yes—
933C2×C4⋊C4C2414yes—
934C2×C4⋊C4C2414yes—
935C2×C4⋊C4C2412yes—
936C2×C4⋊C4C2412yes—
937C2×C4⋊C4C2412yes—
938C2×C4⋊C4C2412yes—
939C2×C4⋊C4C2414yes—
940C2×C4⋊C4C2414yes—
941C2×C4⋊C4C2412yes—
942C2×C4⋊C4C2412yes—
943C2×C4⋊C4C2412yes—
944C2×C4⋊C4C2412yes—
945C2×C4⋊C4C2414yes—
946C2×C4⋊C4C2412yes—
947C2×C4⋊C4C2412yes—
948C2×C4⋊C4C2414yes—
949C2×C4⋊C4C2414yes—
950C2×C22⋊C4C2412yes—
951C2×C22⋊C4C2411yescharacteristic
952C2×C22⋊C4C2412yes—
953C2×C22⋊C4C2412yes—
954C2×C22⋊C4C2412yes—
955C2×C22⋊C4C2412yes—
956C2×C22⋊C4C2412yes—
957C2×C22⋊C4C2414yes—
958C2×C22⋊C4C2414yes—
959C2×C22⋊C4C2412yes—
960C2×C22⋊C4C2412yes—
961C2×C22⋊C4C2414yes—
962C2×C22⋊C4C2414yes—
963C2×C22⋊C4C2412yes—
964C2×C22⋊C4C2412yes—
965C2×C22⋊C4C2411yescharacteristic
966C2×C22⋊C4C2411yescharacteristic
967C2×C22⋊C4C2411yescharacteristic
968C2×C22⋊C4C2411yescharacteristic
969C2×C22⋊C4C2411yescharacteristic
970C2×C22⋊C4C2412yes—
971C2×C22⋊C4C2414yes—
972C2×C22⋊C4C2412yes—
973C2×C22⋊C4C2412yes—
974C2×C22⋊C4C2412yes—
975C2×C22⋊C4C2412yes—
976C2×C22⋊C4C2412yes—
977C2×C22⋊C4C2412yes—
978C2×C22⋊C4C2412yes—
979C2×C22⋊C4C2414yes—
980C2×C22⋊C4C2414yes—
981C2×C22⋊C4C2414yes—
982C2×C22⋊C4C2414yes—
983C2×C22⋊C4C2414yes—
984C2×C22⋊C4C2412yes—
985C2×C22⋊C4C2412yes—
986C2×C22⋊C4C2412yes—
987C2×C22⋊C4C2412yes—
988C2×C22⋊C4C2412yes—
989C2×C22⋊C4C2412yes—
990C2×C22⋊C4C2412yes—
991C2×C22⋊C4C2414yes—
992C2×C42—24no—
993C2×C42—24no—
994C2×C42C2414yes—
995C2×C42C2411yescharacteristic
996C2×C42C2412yes—
997C2×C42C2412yes—
998C2×C42C2411yescharacteristic
999C2×C42C2412yes—
1000C2×C42C2412yes—
1001C2×C42C2411yescharacteristic
1002C2×C42C2411yescharacteristic
1003C2×C42C2412yes—
1004C2×C42C2412yes—
1005C2×C42C2412yes—
1006C2×C42C2412yes—
1007C2×C42C2412yes—
1008C2×C42C2411yescharacteristic
1009C2×C42C2411yescharacteristic
1010C2×C42C2411yescharacteristic
1011C2×C42C2411yescharacteristic
1012C2×C42C2411yescharacteristic
1013C2×C42C2411yescharacteristic
1014C2×C42C2412yes—
1015C2×C42C2412yes—
1016C2×C42C2412yes—
1017C2×C42C2412yes—
1018C2×C42C2414yes—
1019C2×C42C2414yes—
1020C2×C42C2414yes—
1021C2×C42C2411yescharacteristic
1022C2×C42C2414yes—
1023C2×C42C2414yes—
1024C2×C42C2414yes—
1025C2×C42C2414yes—
1026C2×C42C2411yescharacteristic
1027C2×C42C2412yes—
1028C2×C42C2412yes—
1029C2×C42C2411yescharacteristic
1030#95C2412yes—
1031#95C2414yes—
1032#95C2412yes—
1033#95C2412yes—
1034#95C2412yes—
1035#95C2412yes—
1036#95C2412yes—
1037#95C2412yes—
1038#95C2412yes—
1039#95C2412yes—
1040#95C2412yes—
1041#95C2414yes—
1042#95C2412yes—
1043#95C2412yes—
1044#95C2412yes—
1045#95C2412yes—
1046#95C2414yes—
1047#95C2412yes—
1048#95C2412yes—
1049#95C2414yes—
1050#95C2414yes—
1051#95C2412yes—
1052#95C2412yes—
1053#95C2411yescharacteristic
1054#95C2411yescharacteristic
1055#95C2411yescharacteristic
1056#95C2411yescharacteristic
1057#95C2411yescharacteristic
1058#95C2411yescharacteristic
1059#95C2412yes—
1060#95C2412yes—
1061#95C2412yes—
1062#95C2412yes—
1063#95C2412yes—
1064#95C2412yes—
1065#95C2412yes—
1066#95C2412yes—
1067#95C2412yes—
1068#95C2412yes—
1069#95C2412yes—
1070#95C2412yes—
1071#95C2412yes—
1072#95C2412yes—
1073#95C2414yes—
1074#95C2414yes—
1075#95C2412yes—
1076#95C2412yes—
1077#95C2414yes—
1078#95C2412yes—
1079#95C2414yes—
1080#95C2412yes—
1081#95C2414yes—
1082#95C2414yes—
1083#95C2412yes—
1084#95C2414yes—
1085#95C2414yes—
1086#95C2414yes—
1087#95C2412yes—
1088#95C2414yes—
1089#95C2414yes—
1090#95C2414yes—
1091#95C2414yes—
1092#95C2412yes—
1093#95C2414yes—
1094#95C2412yes—
1095#95C2414yes—
1096#95C2412yes—
1097#95C2414yes—
1098#95C2414yes—
1099#95C2412yes—
1100#95C2414yes—
1101#95C2412yes—
1102#95C2412yes—
1103#95C2414yes—
1104#95C2414yes—
1105#95C2414yes—
1106#95C2414yes—
1107#95C2414yes—
1108#95C2414yes—
1109#95C2414yes—
1110#95C2414yes—
1111#95C2414yes—
1112#95C2414yes—
1113#95C2414yes—
1114#95C2414yes—
1115#95C2414yes—
1116#95C2414yes—
1117#95C2414yes—
1118#95C2414yes—
1119#95C2414yes—
1120C24C2512yes—
1121C24C2511yescharacteristic
1122C24C2511yescharacteristic
1123C2×Q8—22no—
1124C2×Q8—24no—
1125C2×Q8—24no—
1126C2×Q8—22no—
1127C2×Q8—24no—
1128C2×Q8—22no—
1129C2×Q8—42no—
1130C2×Q8—44no—
1131C2×Q8—44no—
1132C2×Q8—42no—
1133C2×Q8—44no—
1134C2×Q8—42no—
1135C2×D4—22no—
1136C2×D4—22no—
1137C2×D4—22no—
1138C2×D4—41no—
1139C2×D4—41no—
1140C2×D4—41no—
1141C2×D4—42no—
1142C2×D4—42no—
1143C2×D4—42no—
1144C2×D4—42no—
1145C2×D4—42no—
1146C2×D4—42no—
1147C22×C4—22no—
1148C22×C4—22no—
1149C22×C4—22no—
1150C22×C4—22no—
1151C22×C4—22no—
1152C22×C4—24no—
1153C22×C4—24no—
1154C22×C4—22no—
1155C22×C4—22no—
1156C22×C4—22no—
1157C22×C4—22no—
1158C22×C4—22no—
1159C22×C4—22no—
1160C22×C4—24no—
1161C22×C4—22no—
1162C22×C4—22no—
1163C22×C4—22no—
1164C22×C4—22no—
1165C22×C4—41no—
1166C22×C4—44no—
1167C22×C4—44no—
1168C22×C4—41no—
1169C22×C4—44no—
1170C22×C4—41no—
1171C22×C4C2511yescharacteristic
1172C22×C4C2511yescharacteristic
1173C22×C4C2511yescharacteristic
1174C22×C4C2511yescharacteristic
1175C22×C4C2512yes—
1176C22×C4C2512yes—
1177C22×C4C2514yes—
1178C22×C4C2511yescharacteristic
1179C22×C4C2511yescharacteristic
1180C22×C4C2512yes—
1181C22×C4C2512yes—
1182C22×C4C2512yes—
1183C22×C4C2512yes—
1184C22×C4C2512yes—
1185C22×C4C2512yes—
1186C22×C4C2512yes—
1187C22×C4C2512yes—
1188C22×C4C2511yescharacteristic
1189C22×C4C2512yes—
1190C22×C4C2512yes—
1191C22×C4C2514yes—
1192C22×C4C2514yes—
1193C22×C4C2511yescharacteristic
1194C22×C4C2514yes—
1195C22×C4C2512yes—
1196C22×C4C2512yes—
1197C22×C4C2512yes—
1198C22×C4C2511yescharacteristic
1199C22×C4C2511yescharacteristic
1200C22×C4C2511yescharacteristic
1201C22×C4C2511yescharacteristic
1202C22×C4C2511yescharacteristic
1203C4⋊C4—22no—
1204C4⋊C4—22no—
1205C4⋊C4—24no—
1206C4⋊C4—24no—
1207C4⋊C4—24no—
1208C4⋊C4—22no—
1209C4⋊C4—24no—
1210C4⋊C4—22no—
1211C4⋊C4—24no—
1212C4⋊C4—22no—
1213C4⋊C4—24no—
1214C4⋊C4—24no—
1215C4⋊C4—22no—
1216C4⋊C4—24no—
1217C4⋊C4—22no—
1218C4⋊C4—22no—
1219C4⋊C4—22no—
1220C4⋊C4—22no—
1221C4⋊C4—22no—
1222C4⋊C4—24no—
1223C4⋊C4—22no—
1224C4⋊C4—22no—
1225C4⋊C4—24no—
1226C4⋊C4—22no—
1227C4⋊C4—22no—
1228C4⋊C4—44no—
1229C4⋊C4—42no—
1230C4⋊C4—42no—
1231C4⋊C4—42no—
1232C4⋊C4—44no—
1233C4⋊C4—44no—
1234C4⋊C4—42no—
1235C4⋊C4—42no—
1236C4⋊C4—44no—
1237C4⋊C4—42no—
1238C4⋊C4—42no—
1239C4⋊C4—42no—
1240C4⋊C4—42no—
1241C4⋊C4—42no—
1242C4⋊C4—42no—
1243C4⋊C4—44no—
1244C4⋊C4—42no—
1245C4⋊C4—41no—
1246C4⋊C4—41no—
1247C4⋊C4—42no—
1248C4⋊C4—42no—
1249C4⋊C4—42no—
1250C4⋊C4—44no—
1251C4⋊C4—44no—
1252C4⋊C4—44no—
1253C4⋊C4—44no—
1254C4⋊C4—42no—
1255C4⋊C4—44no—
1256C4⋊C4—44no—
1257C4⋊C4—44no—
1258C4⋊C4—42no—
1259C4⋊C4—44no—
1260C4⋊C4—44no—
1261C4⋊C4—42no—
1262C4⋊C4—44no—
1263C4⋊C4—42no—
1264C4⋊C4—44no—
1265C4⋊C4—44no—
1266C4⋊C4—44no—
1267C4⋊C4—44no—
1268C4⋊C4—44no—
1269C4⋊C4—44no—
1270C4⋊C4—44no—
1271C4⋊C4—42no—
1272C4⋊C4—44no—
1273C4⋊C4—44no—
1274C4⋊C4—44no—
1275C4⋊C4—42no—
1276C4⋊C4—42no—
1277C4⋊C4—42no—
1278C4⋊C4—42no—
1279C4⋊C4—44no—
1280C4⋊C4—42no—
1281C4⋊C4—44no—
1282C22⋊C4—24no—
1283C22⋊C4—24no—
1284C22⋊C4—22no—
1285C22⋊C4—42no—
1286C22⋊C4—44no—
1287C22⋊C4—42no—
1288C22⋊C4—42no—
1289C22⋊C4—44no—
1290C22⋊C4—42no—
1291C22⋊C4—42no—
1292C22⋊C4—44no—
1293C22⋊C4—42no—
1294C22⋊C4—42no—
1295C22⋊C4—44no—
1296C22⋊C4—42no—
1297C22⋊C4—42no—
1298C22⋊C4—44no—
1299C22⋊C4—42no—
1300C22⋊C4—42no—
1301C22⋊C4—42no—
1302C22⋊C4—42no—
1303C22⋊C4—44no—
1304C22⋊C4—42no—
1305C22⋊C4—42no—
1306C22⋊C4—41no—
1307C22⋊C4—41no—
1308C22⋊C4—41no—
1309C22⋊C4—41no—
1310C22⋊C4—41no—
1311C22⋊C4—42no—
1312C22⋊C4—42no—
1313C22⋊C4—44no—
1314C22⋊C4—42no—
1315C22⋊C4—44no—
1316C22⋊C4—42no—
1317C22⋊C4—44no—
1318C22⋊C4—44no—
1319C22⋊C4—44no—
1320C22⋊C4—42no—
1321C22⋊C4—42no—
1322C22⋊C4—42no—
1323C22⋊C4—42no—
1324C42—22no—
1325C42—22no—
1326C42—22no—
1327C42—22no—
1328C42—22no—
1329C42—22no—
1330C42—24no—
1331C42—28no—
1332C42—22no—
1333C42—24no—
1334C42—24no—
1335C42—24no—
1336C42—22no—
1337C42—24no—
1338C42—22no—
1339C42—22no—
1340C42—24no—
1341C42—24no—
1342C42—24no—
1343C42—24no—
1344C42—42no—
1345C42—42no—
1346C42—41no—
1347C42—44no—
1348C42—44no—
1349C42—44no—
1350C42—42no—
1351C42—42no—
1352C42—42no—
1353C42—42no—
1354C42—41no—
1355C42—44no—
1356C42—44no—
1357C42—44no—
1358C42—44no—
1359C422−1+414yes—
1360C23—22no—
1361C23—21no—
1362C23—21no—
1363C23—22no—
1364C23—21no—
1365C23—21no—
1366C23—21no—
1367C23—21no—
1368C23—21no—
1369C23—22no—
1370C23—21no—
1371C23—22no—
1372C23—21no—
1373C23—21no—
1374C23—22no—
1375C23—21no—
1376C23—21no—
1377C23—22no—
1378C23—22no—
1379C23—21no—
1380C23—21no—
1381C23C2611yescharacteristic
1382Q8—44no—
1383Q8—48no—
1384Q8—88no—
1385Q8—84no—
1386D4—44no—
1387D4—44no—
1388D4—84no—
1389D4—84no—
1390C2×C4—21no—
1391C2×C4—21no—
1392C2×C4—21no—
1393C2×C4—21no—
1394C2×C4—21no—
1395C2×C4—21no—
1396C2×C4—21no—
1397C2×C4—21no—
1398C2×C4—21no—
1399C2×C4—22no—
1400C2×C4—22no—
1401C2×C4—22no—
1402C2×C4—24no—
1403C2×C4—21no—
1404C2×C4—22no—
1405C2×C4—22no—
1406C2×C4—22no—
1407C2×C4—24no—
1408C2×C4—22no—
1409C2×C4—21no—
1410C2×C4—22no—
1411C2×C4—21no—
1412C2×C4—22no—
1413C2×C4—24no—
1414C2×C4—22no—
1415C2×C4—22no—
1416C2×C4—21no—
1417C2×C4—21no—
1418C2×C4—22no—
1419C2×C4—22no—
1420C2×C4—22no—
1421C2×C4—22no—
1422C2×C4—22no—
1423C2×C4—21no—
1424C2×C4—21no—
1425C2×C4—21no—
1426C2×C4—22no—
1427C2×C4—22no—
1428C2×C4—22no—
1429C2×C4—21no—
1430C2×C4—22no—
1431C2×C4—22no—
1432C2×C4—22no—
1433C2×C4—22no—
1434C2×C4—21no—
1435C2×C4—21no—
1436C2×C4—24no—
1437C2×C4—22no—
1438C2×C4—24no—
1439C2×C4—22no—
1440C2×C4—21no—
1441C2×C4—24no—
1442C2×C4—22no—
1443C2×C4—21no—
1444C2×C4—21no—
1445C2×C4—24no—
1446C2×C4—24no—
1447C2×C4—21no—
1448C2×C4—22no—
1449C2×C4—22no—
1450C2×C4—22no—
1451C2×C4—22no—
1452C2×C4—22no—
1453C2×C4—22no—
1454C2×C4—21no—
1455C2×C4—21no—
1456C2×C4—22no—
1457C2×C4—24no—
1458C2×C4—24no—
1459C2×C4—22no—
1460C2×C4—22no—
1461C2×C4—21no—
1462C2×C4—22no—
1463C2×C4—22no—
1464C2×C4—24no—
1465C2×C4—22no—
1466C2×C4—21no—
1467C2×C4—21no—
1468C2×C4—22no—
1469C2×C4—22no—
1470C2×C4—22no—
1471C2×C4—22no—
1472C2×C4—21no—
1473C2×C4—22no—
1474C2×C4—22no—
1475C2×C4—24no—
1476C2×C4—21no—
1477C2×C4—22no—
1478C2×C4—44no—
1479C2×C4—44no—
1480C2×C4—44no—
1481C2×C4—48no—
1482C2×C4—44no—
1483C2×C4—44no—
1484C2×C4—82no—
1485C2×C4—88no—
1486C2×C4C2×2−1+412yes—
1487C2×C4C2×2−1+412yes—
1488C2×C4C2×2−1+412yes—
1489C2×C4#58512yes—
1490C2×C4#58512yes—
1491C2×C4#58512yes—
1492C2×C4#58512yes—
1493C2×C4#58512yes—
1494C22—42no—
1495C22—41no—
1496C22—41no—
1497C22—41no—
1498C22—41no—
1499C22—42no—
1500C22—42no—
1501C22—41no—
1502C22—41no—
1503C22—42no—
1504C22—41no—
1505C22—41no—
1506C22—41no—
1507C22—41no—
1508C22—42no—
1509C22—41no—
1510C22—42no—
1511C22—41no—
1512C22—41no—
1513C22—42no—
1514C22—41no—
1515C22C22×2−1+411yescharacteristic
1516C22C2×#58511yescharacteristic
1517C22C2×#58511yescharacteristic
1518C22C2×#58511yescharacteristic
1519C22C2×#58511yescharacteristic
1520C22C2×#58511yescharacteristic
1521C222−1+611yescharacteristic
1522C4—22no—
1523C4—22no—
1524C4—41no—
1525C4—41no—
1526C4—41no—
1527C4—41no—
1528C4—42no—
1529C4—42no—
1530C4—44no—
1531C4—42no—
1532C4—42no—
1533C4—44no—
1534C4—42no—
1535C4—41no—
1536C4—42no—
1537C4—41no—
1538C4—44no—
1539C4—42no—
1540C4—42no—
1541C4—42no—
1542C4—41no—
1543C4—42no—
1544C4—42no—
1545C4—42no—
1546C4—42no—
1547C4—41no—
1548C4—41no—
1549C4—42no—
1550C4—44no—
1551C4—42no—
1552C4#356514yes—
1553C4#356514yes—
1554C2—81no—
1555C2—81no—
1556C2—82no—
1557C2C2×#356511yescharacteristic
1558C2C2×#356511yescharacteristic
1559C2#6276211yescharacteristic
1560C2#6292811yescharacteristic
1561C2#6293611yescharacteristic
1562C2#6296711yescharacteristic
1563C2#6303111yescharacteristic
subgroupG/H
center, commutator, Frattini, socle, cosocleC23C26
prime radical#2414C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23 ◁ G
LECSG ▷ C23 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #59709C2semidirect
2. #59666C2semidirect
3. #59496C2semidirect
4. #59235C2semidirect
5. #59211C2semidirect
6. #57897C2semidirect
7. #57826C2semidirect
8. #53148C2semidirect
9. #53092C2semidirect
11. #53072C2semidirect
12. #52900C2semidirect
13. #42922C2semidirect
14. #42899C2semidirect
15. #42711C2semidirect
16. #42662C2semidirect
17. #42192C2semidirect
18. #39801C2semidirect
19. #39545C2semidirect
20. #39498C2semidirect
21. #39478C2semidirect
22. #39183C2semidirect
23. #39146C2semidirect
24. #39033C2semidirect
25. #39032C2semidirect
26. #37631C2semidirect
27. #37624C2semidirect
28. #37582C2semidirect
29. #37580C2semidirect
30. #36315C2semidirect
31. #36314C2semidirect
32. #36210C2semidirect
33. #34978C2semidirect
34. #34803C2semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#597092
#596662
#594962
#592352
#592112
#578972
#578262
#531482
#530922
#530792
#530722
#529002
#429222
#428992
#427112
#426622
#421922
#398012
#395452
#394982
#394782
#391832
#391462
#390332
#390322
#376312
#376242
#375822
#375802
#363152
#363142
#362102
#349782
#348032
#347972